142092000 has 144 divisors (see below), whose sum is σ = 504412272. Its totient is φ = 37881600.

The previous prime is 142091977. The next prime is 142092017. The reversal of 142092000 is 290241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34027 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (3502863).

Almost surely, 2^142092000 is an apocalyptic number.

142092000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252206136).

142092000 is an abundant number, since it is smaller than the sum of its proper divisors (362320272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142092000 is a wasteful number, since it uses less digits than its factorization.

142092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142092000 is about 11920.2348970144. The cubic root of 142092000 is about 521.8229901436.

The spelling of 142092000 in words is "one hundred forty-two million, ninety-two thousand".